{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:QTCGAC4CWUX6UCSNH2JMZL6CPH","short_pith_number":"pith:QTCGAC4C","schema_version":"1.0","canonical_sha256":"84c4600b82b52fea0a4d3e92ccafc279d794af8535f61d0b46979a126094a9b5","source":{"kind":"arxiv","id":"1108.5755","version":2},"attestation_state":"computed","paper":{"title":"Inverse problems in spectral geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"math.SP","authors_text":"Hamid Hezari, Kiril Datchev","submitted_at":"2011-08-29T21:14:53Z","abstract_excerpt":"In this survey we review positive inverse spectral and inverse resonant results for the following kinds of problems: Laplacians on bounded domains, Laplace-Beltrami operators on compact manifolds, Schr\\\"odinger operators, Laplacians on exterior domains, and Laplacians on manifolds which are hyperbolic near infinity."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1108.5755","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2011-08-29T21:14:53Z","cross_cats_sorted":["math-ph","math.AP","math.MP"],"title_canon_sha256":"ae8ea2e1174879802754236afb57c99aca3a8ce3b829cffb9e4fdbc768c63ba0","abstract_canon_sha256":"743308e041742595e945993110520f3406ce9c7f6a39353be47fdda16d584d93"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:03.663964Z","signature_b64":"KthWm5p/x8D9Y9jn0kZacVyX3yDcIlmtpo4qBHQuyagOv71XMu+nWvweccGhrNKAQfZMf4Epye8sRjZMu9XiAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84c4600b82b52fea0a4d3e92ccafc279d794af8535f61d0b46979a126094a9b5","last_reissued_at":"2026-05-18T03:15:03.663017Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:03.663017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inverse problems in spectral geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"math.SP","authors_text":"Hamid Hezari, Kiril Datchev","submitted_at":"2011-08-29T21:14:53Z","abstract_excerpt":"In this survey we review positive inverse spectral and inverse resonant results for the following kinds of problems: Laplacians on bounded domains, Laplace-Beltrami operators on compact manifolds, Schr\\\"odinger operators, Laplacians on exterior domains, and Laplacians on manifolds which are hyperbolic near infinity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5755","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1108.5755","created_at":"2026-05-18T03:15:03.663181+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.5755v2","created_at":"2026-05-18T03:15:03.663181+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5755","created_at":"2026-05-18T03:15:03.663181+00:00"},{"alias_kind":"pith_short_12","alias_value":"QTCGAC4CWUX6","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_16","alias_value":"QTCGAC4CWUX6UCSN","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_8","alias_value":"QTCGAC4C","created_at":"2026-05-18T12:26:39.201973+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QTCGAC4CWUX6UCSNH2JMZL6CPH","json":"https://pith.science/pith/QTCGAC4CWUX6UCSNH2JMZL6CPH.json","graph_json":"https://pith.science/api/pith-number/QTCGAC4CWUX6UCSNH2JMZL6CPH/graph.json","events_json":"https://pith.science/api/pith-number/QTCGAC4CWUX6UCSNH2JMZL6CPH/events.json","paper":"https://pith.science/paper/QTCGAC4C"},"agent_actions":{"view_html":"https://pith.science/pith/QTCGAC4CWUX6UCSNH2JMZL6CPH","download_json":"https://pith.science/pith/QTCGAC4CWUX6UCSNH2JMZL6CPH.json","view_paper":"https://pith.science/paper/QTCGAC4C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.5755&json=true","fetch_graph":"https://pith.science/api/pith-number/QTCGAC4CWUX6UCSNH2JMZL6CPH/graph.json","fetch_events":"https://pith.science/api/pith-number/QTCGAC4CWUX6UCSNH2JMZL6CPH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QTCGAC4CWUX6UCSNH2JMZL6CPH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QTCGAC4CWUX6UCSNH2JMZL6CPH/action/storage_attestation","attest_author":"https://pith.science/pith/QTCGAC4CWUX6UCSNH2JMZL6CPH/action/author_attestation","sign_citation":"https://pith.science/pith/QTCGAC4CWUX6UCSNH2JMZL6CPH/action/citation_signature","submit_replication":"https://pith.science/pith/QTCGAC4CWUX6UCSNH2JMZL6CPH/action/replication_record"}},"created_at":"2026-05-18T03:15:03.663181+00:00","updated_at":"2026-05-18T03:15:03.663181+00:00"}